What is the 9451st prime number?
The 9451st prime number is 98419. The next prime is 98429 (a gap of 10) and the one before is 98411.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 9451st one is 98419.
- 2
98419 is prime because no prime up to ā98419 ā 313.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9451st prime is close to 9451 Ć ln(9451) ā 86513, and here it is 98419.
- 4
98419 has no twin: neither 98417 nor 98421 is prime.
Primes around the 9451st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9448 | 98389 | 2 |
| 9449 | 98407 | 18 |
| 9450 | 98411 | 4 |
| 9451 | 98419 | 8 |
| 9452 | 98429 | 10 |
| 9453 | 98443 | 14 |
| 9454 | 98453 | 10 |
Questions
What is the 9451st prime number?
98419.
Which prime number is 98419?
98419 is the 9451st prime number.
What is the sum of the first 9451 primes?
440,408,646.